5L 2s/Muddles - Revision history

ArrowHead294 at 16:16, 8 March 2025

2025-03-08T16:16:36Z

← Older revision		Revision as of 16:16, 8 March 2025
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	The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L 2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it. This page is for the cataloguing of these muddles. For the sake of ease, "L<sub>1</sub>" refers to the larger of two large step sizes while "L<sub>2</sub>" refers to the smaller of two large step sizes, and likewise "s<sub>1</sub>" refers to the larger of two small step sizes while "s<sub>2</sub>" refers to the smaller of two small step sizes. For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.		{{breadcrumb}}
			The term "'''diatonic scale'''" is an umbrella term that not only refers to the [[5L 2s]] [[MOS scale]], but also to the group of [[muddle]]s and [[MODmuddle]]s that both resemble it and are related to it. This page is for the cataloguing of these muddles. For the sake of ease, "L<sub>1</sub>" refers to the larger of two large step sizes while "L<sub>2</sub>" refers to the smaller of two large step sizes, and likewise "s<sub>1</sub>" refers to the larger of two small step sizes while "s<sub>2</sub>" refers to the smaller of two small step sizes. For muddles where there's only a single size of large step, a simple "L" will be used, and likewise, for muddles where there's only a single size of small step, a simple "s" will be used.

	== 3L<sub>1</sub> 2L<sub>2</sub> 2s ==		== 3L<sub>1</sub> 2L<sub>2</sub> 2s ==
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic ~~Sequence~~]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale, though to be fair, it is a chiral scale that has the other variant of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.		The {{nowrap\|'''3L<sub>1</sub> 2L<sub>2</sub> 2s'''}} muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the {{nowrap\|3L<sub>1</sub> 2L<sub>2</sub> 2s}} being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale, though to be fair, it is a chiral scale that has the other variant of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==
	{{see also\|Interdia}}		{{see also\|Interdia}}

	Aside from the Ptolemaic diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle, which can be denoted as '''[[Interdia]]''', is the one of the more frequently encountered 5L 2s muddles.		Aside from the Ptolemaic diatonic scale, the {{nowrap\|'''2L<sub>1</sub> 3L<sub>2</sub> 2s'''}} muddle, which can be denoted as '''[[Interdia]]''', is the one of the more frequently encountered 5L 2s muddles.

	== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==		== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==
	The following [[18edo]] irregular diatonics, which are derived by stacking alternating ~~667¢~~ and ~~733¢~~ fifths, belong to this category: 0-200-400-533-733-933-1133-1200 and 0-200-400-467-667-867-1067-1200.		The following [[18edo]] irregular diatonics, which are derived by stacking alternating 667{{c}} and 733{{c}} fifths, belong to this category: {{dash\|0, 200, 400, 533, 733, 933, 1133, 1200}} and {{dash\|0, 200, 400, 467, 667, 867, 1067, 1200}}.

	[[Category:Diatonic]]		[[Category:Diatonic]]
	[[Category:MOS muddles]]		[[Category:MOS muddles]]

ArrowHead294: ArrowHead294 moved page 5L 2s Muddles to 5L 2s/Muddles: Change to subpage format

2025-03-08T16:15:15Z

ArrowHead294 moved page 5L 2s Muddles to 5L 2s/Muddles: Change to subpage format

← Older revision	Revision as of 16:15, 8 March 2025
(No difference)

Aura at 18:24, 3 June 2023

2023-06-03T18:24:03Z

← Older revision		Revision as of 18:24, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale, though to be fair, it is a chiral scale that has the other variant of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==

Aura at 18:22, 3 June 2023

2023-06-03T18:22:27Z

← Older revision		Revision as of 18:22, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' or '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as the '''Ptolemaic diatonic scale''' or as '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==

Aura at 18:12, 3 June 2023

2023-06-03T18:12:05Z

← Older revision		Revision as of 18:12, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' or '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale. However, it is important to note that the Ptolemaic diatonic scale has an inverse, the '''Contraptolemaic diatonic scale''', that has the pattern of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' or '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==

Aura at 18:03, 3 June 2023

2023-06-03T18:03:56Z

← Older revision		Revision as of 18:03, 3 June 2023
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	{{see also\|Interdia}}		{{see also\|Interdia}}

	Aside from the Ptolemaic diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle ([[~~interdia~~]]) is the one of the more frequently encountered 5L 2s muddles.		Aside from the Ptolemaic diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle, which can be denoted as '''[[Interdia]]''', is the one of the more frequently encountered 5L 2s muddles.

	== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==		== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==

Aura at 18:03, 3 June 2023

2023-06-03T18:03:11Z

← Older revision		Revision as of 18:03, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' (or [[~~nicetone~~]]) on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale. However, it is important to note that the Ptolemaic diatonic scale has an inverse, the Contraptolemaic diatonic scale, that has the pattern of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' or '''[[Nicetone]]''' on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale. However, it is important to note that the Ptolemaic diatonic scale has an inverse, the '''Contraptolemaic diatonic scale''', that has the pattern of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==

Aura at 18:02, 3 June 2023

2023-06-03T18:02:03Z

← Older revision		Revision as of 18:02, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' (or [[nicetone]]) on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' (or [[nicetone]]) on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale. However, it is important to note that the Ptolemaic diatonic scale has an inverse, the Contraptolemaic diatonic scale, that has the pattern of L<sub>2</sub>L<sub>1</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==

Aura: Separating my preferred Ionian scale tuning, the Bilawal scale, from the Ptolemaic Sequence as the Bilawal scale is MV4.

2023-06-03T17:58:25Z

Separating my preferred Ionian scale tuning, the Bilawal scale, from the Ptolemaic Sequence as the Bilawal scale is MV4.

← Older revision		Revision as of 17:58, 3 June 2023
Line 4:		Line 4:
	{{see also\|Nicetone}}		{{see also\|Nicetone}}

	The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic~~-Auric~~ diatonic scale''' (or [[nicetone]]) on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination ~~being shared by both~~ the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''~~, and [[User:Aura\|Aura]]'s preferred tuning of the Ionian scale, albeit the exact step patterns differ between the two scales~~. By default, the Ptolemaic~~-Auric~~ diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.		The '''3L<sub>1</sub> 2L<sub>2</sub> 2s''' muddle can be denoted as '''Ptolemaic diatonic scale''' (or [[nicetone]]) on account of the 3L<sub>1</sub> 2L<sub>2</sub> 2s being the step-size combination of the well-known '''[[Zarlino\|Ptolemaic Sequence]]'''. By default, the Ptolemaic diatonic scale has the pattern of L<sub>1</sub>L<sub>2</sub>sL<sub>1</sub>L<sub>2</sub>L<sub>1</sub>s, which was chosen as the standard arrangement for representing this particular step-size combination due to the Ptolemaic Sequence being a more evenly distributed [[MV3]] scale.

	== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==		== 2L<sub>1</sub> 3L<sub>2</sub> 2s ==
	{{see also\|Interdia}}		{{see also\|Interdia}}

	Aside from the Ptolemaic~~-Auric~~ diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle ([[interdia]]) is the one of the more frequently encountered 5L 2s muddles.		Aside from the Ptolemaic diatonic scale, the '''2L<sub>1</sub> 3L<sub>2</sub> 2s''' muddle ([[interdia]]) is the one of the more frequently encountered 5L 2s muddles.

	== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==		== 5L 1s<sub>1</sub> 1s<sub>2</sub> ==

Fredg999 category edits: Removing from Category:Abstract MOS patterns using Cat-a-lot

2023-05-20T05:25:02Z

Removing from Category:Abstract MOS patterns using Cat-a-lot

← Older revision		Revision as of 05:25, 20 May 2023
Line 15:		Line 15:

	[[Category:Diatonic]]		[[Category:Diatonic]]
	~~[[Category:Abstract MOS patterns]]~~
	[[Category:MOS muddles]]		[[Category:MOS muddles]]